[email protected] ENGR-25_Lec-27_MuPAD_Miscellaneous-n-TYUs.pptx 1 Bruce Mayer, PE...

[email protected] ENGR-25_Lec-27_MuPAD_Miscellaneous-n-TYUs.pptx 1

Bruce Mayer, PE Engineering/Math/Physics 25: Computational Methods

Bruce Mayer, PELicensed Electrical & Mechanical Engineer

[email protected]

Engr/Math/Physics 25

Chp11:

MuPAD Misc



Using Greek Letters

Can only do ONE letter at time

Not ALL std Ltrs convert to Greek• Also Use

Ctrl+G

Some Letters do NOT have conversions

Spaces do NOT Convert• Select

ONLY letters; NOT letters and a space



TypeSetting Symbols



Greek from Command Bar Make Expression

Use Assignment Operator → :=

Now type A*cos( *t+ )

Next Pick-off the Greek from the COMMAND BAR

Click the Down Arrow

tAh cos



Greek from Command Bar Then pick off omega

& phi from the pull-down list with cursor in the right spot in the “h” expression

Then hit Enter to create symbolic expression

Some Other Expressions with Greek Pulled From the Command Bar



“HashTag” PlaceHolders PlaceHolder for

items from the Command Bar look Something like: #f, or #x xx• Sort of Like

“HashTag” in Twitter

Let take an Anti-Derviative, and Calculate some Integrals

Use the Command Bar Integral Pull-Down

Pick first one to expose Place Holders for fcn & var

7

3 222222 1

1

1

1

1

1dy

ydy

ydy

y



“HashTag” PlaceHolders Replace“HashTags”

For Variable End-Point Definite Integral

The HastTags

The symbolic Definite Integral

The NUMERIC Definite Integral(s)

7

3 222222 1

1

1

1

1

1dy

ydy

ydy

y



Assignment vs. Procedure := does NOT Create

a function• It assigns a complex

expression to an Abbreviation

To Create A Function (MuPad “Procedure”) include characters ->

Comparing →



Quick Plot by Command Bar Find

Plot Icon

Then Fill in the HashTag the the desired Function; say

The Template

The Result after filling in HashTag

xxy sin



Adjust Plot MuPad picks the

InDep Var limits ±5 Write out Function to

set other limits

2X-Clik the Plot to Fine Tune Plot formatting Using the Object Browser



Object Brower (2X Clik Plot)



delete → early & often

In MuPAD there is NO WorkSpace Browser to see if variable has been used and currently contains a value

Use “delete(p)”, where “p” is the variable to be cleared in a manner similar to using “clear” in MATLAB

When in Doubt, DELETE



delete → early & often

BOOBY PRIZE → A Variable defined in one WorkBook will CARRY OVER into OTHER WorkBooks• The Deleted Assignment in the original

WorkBook can be Recovered by using Evaluate

When in doubt → DELETE

See File: Multiple_Assigns_Deletions_1204



TYU 11.2-1

For a A very Good Exercise See file• ENGR25_TYU11_2_1_Expressions_Functi

ons_1204.mn



TYU11.3

Another Good Exercise• ENGR25_TYU11_3_Expressions_Function

s_1204.mn



Inserting Images into MuPAD

Unlike the MATLAB Command Window, IMAGES can be imported into Text Regions of a MuPAD WorkBook

Copy the Image then

See File• Insert-Graphic_1204.mn

– Contains some other“tips” on MuPAD as well



TYU11.5 → Derivatives

Take Some Derivatives• ENGR25_TYU11_5_Derivatives_1204.mn



TYU11.5 → AntiDerivatives

Do Some Integration• ENGR25_TYU11_5_Integration_1204.mn



TYU 11.5 → Sums & Series

Exercise Taylor’s Series & Sums• ENGR25_TYU11_5_6789_Taylor_Sums_Li

mits_1204.mn



TYU11.6 → ODEs

Do an ODE Solution• file = ENGR25_TYU11_6_ODE_1204.mn

– By: File → Export → PDF



All Done for Today

It’s AllGREEKto me…

[email protected] ENGR-25_Lec-27_MuPAD_Miscellaneous-n-TYUs.pptx 1 Bruce Mayer, PE...

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